\(a,5^6\cdot5^2:5^3\)
\(=5^8:5^3\)
\(=5^5\)\(=3125\)
\(b,5^4\cdot5^0:5^2\)
\(=5^4:5^2\)
\(=5^2\)\(=25\)
\(c,11^2\cdot11^4\cdot11^3\)
\(=11^6\cdot11^3\)
\(=11^9\)
\(d,10\cdot11^2+11^2\cdot10^2\)
\(=11^2\cdot\left(10+10^2\right)\)
\(=121\cdot110\)
\(=13310\)
\(e,5^4+5^4\cdot3+5^4\cdot6\)
\(=5^4\cdot1+5^4\cdot3+5^4\cdot6\)
\(=5^4\cdot\left(1+3+6\right)\)
\(=5^4\cdot10\)
\(=6250\)
a) = 56+2-3 = 55 = 3125
b) = 54+0-2 = 52 = 25
c) = 112+4+3 = 119 = 2 357 947 691
d) = 112(10.102) = 112.101+2 = 112.103 = 121.1000 = 121 000
e) = 54(1 + 3 + 6) = 54.10 = 625.10 = 6250